Question

Morriss Math 22 Dual Activation Switch Desigrn Imagine a hardware protocol that treats negations () and conditionals ->) as fundamental logical operations. Under this protocol, design an electronic switch with four input wires arranged in two pairs. To allow current to flow, the switch must be activated by a voltage from exactly one input wire in each pair. A second wire from either pair acts as an inhibitor and stops the current flow Let p, q, r, and s represent the input voltages of the four wires, respectvely, withp and q making up the trst pair and r and s making up the second pair. A·true" value indicates a voltage in that wire p qrs switch a) Compose a logical statement form to represent the function of the switch under the specified hardware protocol. That is, compose a logical statement form containing only negations and conditionals that is true only when exactly one of p and q, and exactly one of r and s are true. b) Construct a truth table to verify that your statement form accurately mimics the desired action of the switch. c) Explain your switch design. Document your process of building the switch. If it helps, you may consider that you're writing hardware documentation To grade this assignment, I consider the following > Does it work? Does it parse (no mismatched parentheses)? Does it functions approprately? (deliver a true value only under the specified conditions) > Does it meet the specified logical protocol? Does it treat negations and conditionals as fundamental operators? (No biconditionals, right? A biconditional implies a conjunction of a conditional statement with its converse.) with fewer logical operators are better. protocol and use relatively few logical operators, those with dearer > Is it efficient? That is, among designs that work under the specified protocol, those > Is it well documented? That is, among designs that work under the specified documentation are better.

Answer 1